Companion of Ostrowski Inequality for Multiplicatively Convex Functions
The objective of this paper is to examine integral inequalities related to multiplicatively differentiable functions. Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions. Using this identity, we derive Companion of Ostrowski...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-03-01
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| Series: | Sahand Communications in Mathematical Analysis |
| Subjects: | |
| Online Access: | https://scma.maragheh.ac.ir/article_709700_78cf141230b04e9ddb18ef409c4bcda7.pdf |
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| _version_ | 1823859376079765504 |
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| author | Badreddine Meftah Abdelghani Lakhdari Saleh Wedad Chemeseddine djaber Benchettah |
| author_facet | Badreddine Meftah Abdelghani Lakhdari Saleh Wedad Chemeseddine djaber Benchettah |
| author_sort | Badreddine Meftah |
| collection | DOAJ |
| description | The objective of this paper is to examine integral inequalities related to multiplicatively differentiable functions. Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions. Using this identity, we derive Companion of Ostrowski's inequalities for multiplicatively differentiable convex mappings. The work also provides the results' applications. |
| format | Article |
| id | doaj-art-13af4b97d73a4341818f06171ba83e40 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-13af4b97d73a4341818f06171ba83e402025-02-11T05:24:46ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-03-0121228930410.22130/scma.2023.2002136.1324709700Companion of Ostrowski Inequality for Multiplicatively Convex FunctionsBadreddine Meftah0Abdelghani Lakhdari1Saleh Wedad2Chemeseddine djaber Benchettah3Department of Mathematics, 8 may 1945 University, 24000, Geulma, Algeria.Department CPST, National Higher School of Technology and Engineering, 23005, Annaba, Algeria.Department of Mathematics, Taibah University, 42353, Al-Medina, Saudi Arabia.Higher School of Management Sciences, 23000, Annaba, Algeria.The objective of this paper is to examine integral inequalities related to multiplicatively differentiable functions. Initially, we establish a novel identity using the two-point Newton-Cotes formula for multiplicatively differentiable functions. Using this identity, we derive Companion of Ostrowski's inequalities for multiplicatively differentiable convex mappings. The work also provides the results' applications.https://scma.maragheh.ac.ir/article_709700_78cf141230b04e9ddb18ef409c4bcda7.pdfnon-newtonian calculuscompanion of ostrowski inequalitymultiplicatively convex functions |
| spellingShingle | Badreddine Meftah Abdelghani Lakhdari Saleh Wedad Chemeseddine djaber Benchettah Companion of Ostrowski Inequality for Multiplicatively Convex Functions Sahand Communications in Mathematical Analysis non-newtonian calculus companion of ostrowski inequality multiplicatively convex functions |
| title | Companion of Ostrowski Inequality for Multiplicatively Convex Functions |
| title_full | Companion of Ostrowski Inequality for Multiplicatively Convex Functions |
| title_fullStr | Companion of Ostrowski Inequality for Multiplicatively Convex Functions |
| title_full_unstemmed | Companion of Ostrowski Inequality for Multiplicatively Convex Functions |
| title_short | Companion of Ostrowski Inequality for Multiplicatively Convex Functions |
| title_sort | companion of ostrowski inequality for multiplicatively convex functions |
| topic | non-newtonian calculus companion of ostrowski inequality multiplicatively convex functions |
| url | https://scma.maragheh.ac.ir/article_709700_78cf141230b04e9ddb18ef409c4bcda7.pdf |
| work_keys_str_mv | AT badreddinemeftah companionofostrowskiinequalityformultiplicativelyconvexfunctions AT abdelghanilakhdari companionofostrowskiinequalityformultiplicativelyconvexfunctions AT salehwedad companionofostrowskiinequalityformultiplicativelyconvexfunctions AT chemeseddinedjaberbenchettah companionofostrowskiinequalityformultiplicativelyconvexfunctions |